102101000 has 32 divisors (see below), whose sum is σ = 238918680. Its totient is φ = 40840000.

The previous prime is 102100991. The next prime is 102101033. The reversal of 102101000 is 101201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 8514724 + 93586276 = 2918^2 + 9674^2 .

It is a super-2 number, since 2×102101000² = 20849228402000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (5).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50051 + ... + 52050.

Almost surely, 2^102101000 is an apocalyptic number.

102101000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102101000 is an abundant number, since it is smaller than the sum of its proper divisors (136817680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102101000 is a wasteful number, since it uses less digits than its factorization.

102101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102122 (or 102108 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 5.

The square root of 102101000 is about 10104.5039462608. The cubic root of 102101000 is about 467.3870393478.

Adding to 102101000 its reverse (101201), we get a palindrome (102202201).

The spelling of 102101000 in words is "one hundred two million, one hundred one thousand".